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quantum_converter_visualization.html
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<!DOCTYPE html>
<html lang="en">
<head>
<meta charset="UTF-8">
<meta name="viewport" content="width=device-width, initial-scale=1.0">
<title>Quantum Energy Converter Visualization</title>
<style>
body {
font-family: Arial, sans-serif;
margin: 20px;
background-color: #f0f0f0;
}
.container {
max-width: 1200px;
margin: 0 auto;
background-color: white;
padding: 20px;
border-radius: 10px;
box-shadow: 0 0 10px rgba(0,0,0,0.1);
}
.canvas-container {
display: flex;
justify-content: space-around;
flex-wrap: wrap;
margin: 20px 0;
}
canvas {
border: 1px solid #ccc;
margin: 10px;
background-color: white;
}
.controls {
margin: 20px 0;
padding: 10px;
background-color: #f8f8f8;
border-radius: 5px;
}
.math {
font-family: "Times New Roman", Times, serif;
margin: 20px 0;
padding: 10px;
background-color: #f8f8f8;
border-radius: 5px;
}
.quantum-circuit {
margin: 20px 0;
padding: 10px;
background-color: #f8f8f8;
border-radius: 5px;
}
</style>
</head>
<body>
<div class="container">
<h1>Quantum Energy Converter Visualization</h1>
<div class="canvas-container">
<div>
<h2>Alpha Particle Converter (Graphene-based)</h2>
<canvas id="alphaCanvas" width="500" height="400"></canvas>
</div>
<div>
<h2>Other Particle Converter (Diamond-Graphene Hybrid)</h2>
<canvas id="otherCanvas" width="500" height="400"></canvas>
</div>
</div>
<div class="controls">
<h3>Visualization Controls</h3>
<label>Rotation: <input type="range" id="rotation" min="0" max="360" value="0"></label><br>
<label>Zoom: <input type="range" id="zoom" min="50" max="150" value="100"></label>
</div>
<div class="quantum-circuit">
<h3>Quantum Circuit Design</h3>
<canvas id="quantumCircuitCanvas" width="600" height="200"></canvas>
<div class="circuit-legend">
<p><strong>Circuit Components:</strong></p>
<ul>
<li>|0⟩: Initial quantum state</li>
<li>H: Hadamard gate</li>
<li>CNOT: Controlled-NOT gate</li>
<li>X: Pauli-X gate</li>
<li>M: Measurement</li>
</ul>
</div>
</div>
<div class="math">
<h3>Mathematical Framework</h3>
<p>Alpha Particle Converter Shape Function:</p>
<p>$$ H_α(r) = \sum_{n=1}^8 1.2 \exp(- rac{n}{8}) \sin(1.618nr) $$</p>
<p>Other Particle Converter Shape Function:</p>
<p>$$ H_o(r) = \sum_{n=1}^8 1.5 \exp(- rac{n}{8}) \sin(1.618nr + rac{\pi}{4}) $$</p>
</div>
</div>
<script>
// Constants
const PHI = (1 + Math.sqrt(5)) / 2;
const NUM_HARMONICS = 8;
// Canvas setup
const alphaCanvas = document.getElementById('alphaCanvas');
const otherCanvas = document.getElementById('otherCanvas');
const alphaCtx = alphaCanvas.getContext('2d');
const otherCtx = otherCanvas.getContext('2d');
const quantumCircuitCanvas = document.getElementById('quantumCircuitCanvas');
const quantumCtx = quantumCircuitCanvas.getContext('2d');
// Control elements
const rotationControl = document.getElementById('rotation');
const zoomControl = document.getElementById('zoom');
function calculateShape(t, type) {
let sum = 0;
const resonance = type === 'alpha' ? 1.2 : 1.5;
for (let n = 1; n <= NUM_HARMONICS; n++) {
const amplitude = resonance * Math.exp(-n/NUM_HARMONICS);
const phase = type === 'alpha' ? 0 : Math.PI/4;
sum += amplitude * Math.sin(PHI * n * t + phase);
}
return sum;
}
function drawConverter(ctx, type) {
const width = ctx.canvas.width;
const height = ctx.canvas.height;
const scale = parseInt(zoomControl.value) / 100;
const rotation = parseInt(rotationControl.value) * Math.PI / 180;
ctx.clearRect(0, 0, width, height);
ctx.save();
ctx.translate(width/2, height/2);
ctx.rotate(rotation);
ctx.scale(scale, scale);
// Draw the shape
ctx.beginPath();
ctx.strokeStyle = type === 'alpha' ? '#2196F3' : '#4CAF50';
ctx.lineWidth = 2;
for (let t = 0; t < 2 * Math.PI; t += 0.01) {
const r = calculateShape(t, type);
const x = r * Math.cos(t) * 50;
const y = r * Math.sin(t) * 50;
if (t === 0) {
ctx.moveTo(x, y);
} else {
ctx.lineTo(x, y);
}
}
ctx.closePath();
ctx.stroke();
if (type === 'alpha') {
ctx.strokeStyle = '#1976D2';
ctx.setLineDash([5, 5]);
ctx.beginPath();
ctx.arc(0, 0, 80, 0, 2 * Math.PI);
ctx.stroke();
ctx.setLineDash([]);
} else {
ctx.strokeStyle = '#388E3C';
ctx.setLineDash([5, 5]);
ctx.beginPath();
ctx.arc(0, 0, 100, 0, 2 * Math.PI);
ctx.stroke();
ctx.setLineDash([]);
}
ctx.restore();
}
function drawQuantumGate(ctx, x, y, type) {
ctx.strokeStyle = '#000';
ctx.fillStyle = '#fff';
ctx.lineWidth = 2;
if (type === 'H') {
ctx.strokeRect(x - 15, y - 15, 30, 30);
ctx.fillRect(x - 15, y - 15, 30, 30);
ctx.fillStyle = '#000';
ctx.font = '16px Arial';
ctx.fillText('H', x - 6, y + 6);
} else if (type === 'X') {
ctx.strokeRect(x - 15, y - 15, 30, 30);
ctx.fillRect(x - 15, y - 15, 30, 30);
ctx.fillStyle = '#000';
ctx.font = '16px Arial';
ctx.fillText('X', x - 6, y + 6);
} else if (type === 'CNOT') {
ctx.beginPath();
ctx.arc(x, y, 5, 0, 2 * Math.PI);
ctx.stroke();
ctx.fill();
} else if (type === 'M') {
ctx.strokeRect(x - 15, y - 15, 30, 30);
ctx.fillRect(x - 15, y - 15, 30, 30);
ctx.fillStyle = '#000';
ctx.font = '16px Arial';
ctx.fillText('M', x - 8, y + 6);
}
}
function drawQuantumCircuit() {
const width = quantumCtx.canvas.width;
const height = quantumCtx.canvas.height;
quantumCtx.clearRect(0, 0, width, height);
// Draw quantum circuit lines
const qubitLines = 3;
const lineSpacing = 50;
const startX = 50;
const endX = width - 50;
// Draw horizontal lines for qubits
for (let i = 0; i < qubitLines; i++) {
const y = (i + 1) * lineSpacing;
quantumCtx.beginPath();
quantumCtx.moveTo(startX, y);
quantumCtx.lineTo(endX, y);
quantumCtx.strokeStyle = '#000';
quantumCtx.lineWidth = 2;
quantumCtx.stroke();
// Label initial states
quantumCtx.font = '14px Arial';
quantumCtx.fillStyle = '#000';
quantumCtx.fillText('|0⟩', startX - 30, y + 5);
}
// Draw quantum gates
// First column: Hadamard gates
drawQuantumGate(quantumCtx, 100, lineSpacing, 'H');
drawQuantumGate(quantumCtx, 100, 2 * lineSpacing, 'H');
// Second column: CNOT gate
drawQuantumGate(quantumCtx, 200, lineSpacing, 'CNOT');
drawQuantumGate(quantumCtx, 200, 2 * lineSpacing, 'X');
quantumCtx.beginPath();
quantumCtx.moveTo(200, lineSpacing);
quantumCtx.lineTo(200, 2 * lineSpacing);
quantumCtx.stroke();
// Third column: X gate and measurement
drawQuantumGate(quantumCtx, 300, lineSpacing, 'X');
drawQuantumGate(quantumCtx, 300, 2 * lineSpacing, 'X');
drawQuantumGate(quantumCtx, 300, 3 * lineSpacing, 'X');
// Fourth column: Measurements
drawQuantumGate(quantumCtx, 400, lineSpacing, 'M');
drawQuantumGate(quantumCtx, 400, 2 * lineSpacing, 'M');
drawQuantumGate(quantumCtx, 400, 3 * lineSpacing, 'M');
}
function updateVisualizations() {
drawConverter(alphaCtx, 'alpha');
drawConverter(otherCtx, 'other');
drawQuantumCircuit();
}
// Event listeners
rotationControl.addEventListener('input', updateVisualizations);
zoomControl.addEventListener('input', updateVisualizations);
// Initial draw
updateVisualizations();
</script>
</body>
</html>